The 37's will only fit with the ST3 lift 100% if you have the high clearance Rubicon fenders. With the lower factory Sport/Sahara fenders you run the risk of the tires rubbing the fenders on the up travel of the suspension. However the 37's should fit okay if you ran flat fenders.
A common misconception is Falcon shocks only work with linear springs; which is false. On the JK Falcons it is true that they were tuned in Teraflex linear springs, but they work with with both linear and progressive rate springs. However, on the JL Falcon's they where tuned in with the dual...
Nice, the RT series lifts are top tier. The included Alpine IR control arms are really nice.
That being said; if you're only planning on weekend wheeling the CT or even ST would still suit your needs if you're looking to save a bit on the purchase price.
I usually hold onto them to if they're not worth a ton and I'll donate them to someone if they have a damaged or worn out part. Worst case I've given parts to my local Jeep group or Jeep shop to help them fix people's Jeeps.
Higher end steering stabilizers, especially the "through shaft" designs can unwanted reduce steering wheel feedback and help reduce flightiness from cross winds. They do not however fix issues with worn out parts, bad alignments, or improper suspension geometry.
Completely normal. Rotational play like that is expected so they won't bind during/with suspension travel. It's the vertical or in and out movement, or the side to side movement that you really have to watch for.
I got into an accident with my JKU with my AEV bumper and it looked completely fine; I even drove home no issue. However when my body shop inspected my Jeep they found that the frame was tweaked in a few places, the trans mount was bent, and 7 of the 10 body mounts were bent too. Ended up being...